If $AandB$are square matrices of size $n\times n$ such that $A^2–B^2=(A–B)(A+B)$, then which of the following will be always correct?

Q. If A and B are square matrices of the same order such that AB = BA, then show that (A + B)² = A² + 2AB + B².

Q. If A and B are square matrices of the same order, then (A + B)(A − B) is equal to

(a) A² − B²
(b) A² − BA − AB − B²
(c) A² − B² + BA − AB
(d) A² − BA + B² + AB

Q. If $A$ and $B$ are square matrices of order $n\times n$ such that $A^2-B^2=(A-B)(A+B),$ then which of the following will be always true?

Q. If A and B are square matrices of order 'n' such that $A^2-B^2=(A-B)(A+B)$, then which of the following will be true?

Q.

Show that if A and B are square matrices such that AB = BA, then $(A+B{)}^2=A^2+2AB+B^2$.